If you are shooting from a bench, you will probably notice a difference between balls that you weigh and those that you don't. When you are shooting from a bench, you are rock steady and differences in powder, ball, patch and lube become quite apparent. But, when you are shooting off hand, unless you are an exceptional shooter, your natural wibbbles and wobbles will be greater than any difference you can see in the variations in ball weight. Having said such a grand sweeping statement as that, I am assuming that you know your oats about casting balls and are using proper technique. If you are, then you will find only small (plus or minus only a very few grains) variation in your balls. If you are a novice at casting balls, you may need to weigh them because you will quite likely have a much greater variation in ball weight due to getting air bubbles inside some of the balls. These balls can often be light by 10 grains or so and this can cause fliers. I am also making the assumption that you are using a consistent alloy when casting balls. If you start out with soft lead in your pot and as you use up the lead in the pot and add some more lead to it, if that lead isn't the same alloy as what you had in the pot to begin with, the weight of the resultant balls can change as can their diameter.
So, if you are an experienced caster and do your casting in a methodical and consistant way, your resultant balls will not vary enough to be worth weighing providing that you are shooting off hand because any variation in ball weight will be more than hidden by your natural wibbles and wobbles. On the other hand, if you are a national match champion who is shooting for a title in a major match, by all means, weigh each ball and keep it within no more than plus or minus 0.5 grains because you are good enough that you can tell the difference in ball weight variations of a grain or so. But for us average shooters, I don't think we are good enough at shooting off hand to tell the difference if a ball varies by as much as 5 grains either way.
Believe me when I tell you that I am a devout believer in the Dutch Schoultz accuracy system and I hightly recommend it to anyone who aspires to wring the maximum accuracy from their rifle. But it is designed to find the exact load that will make your rifle shoot as accurately as it is capable of. But, his shooting is done from a bench. Once you have found that perfect load, your limitation will be you not your rifle. So, if you have all of the variables under control per the Schoultz method and you are an average shooter shooting offhand, a slight variation of a few grains in ball weight will not be noticeable on your target. But if all of them are out of control, you surely will notice a great difference on your target